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x→∞lim​(x2+2x−3​−(x+1))=…

Pertanyaan

limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x minus 3 end root minus open parentheses x plus 1 close parentheses close parentheses equals horizontal ellipsis

  1. negative 4

  2. negative 1

  3. 0

  4. 2

  5. 4

A. Fatta

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Ingat jika limit as x rightwards arrow infinity of open parentheses square root of a x squared plus b x plus c end root minus square root of a x squared plus q x plus r end root close parentheses equals fraction numerator b minus q over denominator 2 square root of a end fraction.

Perhatikan perhitungan berikut!

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x minus 3 end root minus open parentheses x plus 1 close parentheses close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x minus 3 end root minus square root of open parentheses x plus 1 close parentheses squared end root close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x minus 3 end root minus square root of x squared plus 2 x plus 1 end root close parentheses end cell row blank equals cell fraction numerator 2 minus 2 over denominator 2 square root of 1 end fraction end cell row blank equals 0 end table 

Jadi, limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x minus 3 end root minus open parentheses x plus 1 close parentheses close parentheses equals 0.

Oleh karena itu, jawaban yang benar adalah C.

 

67

5.0 (2 rating)

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